A Level further maths: equation of a half line - complex numbers

The following simulation, which is fully interactive, shows you how to derive the equation of a half line.

A half line, by definition,  is a line that stretches from a point in one direction up to infinity. 

You may change the position of the arbitrary point, denoted by Z, and the equation of the half-line will be automatically derived. 

🎕I am immensely thankful to the GeoGebra foundation for providing the programmers with this platform to play with amazing tools to  learn, share and above all, have fun - at the same time.